Velocity At Inlet Given Torque By Fluid Calculator

Formula Used:

\[ v_f = \frac{\left(\frac{\tau \cdot G}{w_f} + v \cdot r\right)}{r_o} \]

Torque Exerted on Wheel (τ):

N·m

Specific Gravity of Fluid (G):

Weight of Fluid (w_f):

Velocity of Jet (v):

m/s

Radius of Wheel (r):

Radius of Outlet (r_o):

Final Velocity (v_f):

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1. What is the Velocity at Inlet Given Torque by Fluid Formula?

The Velocity at Inlet Given Torque by Fluid formula calculates the final velocity of a fluid based on torque exerted on a wheel, specific gravity of the fluid, weight of the fluid, velocity of jet, radius of wheel, and radius of outlet. This equation is essential in fluid mechanics and hydraulic engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v_f = \frac{\left(\frac{\tau \cdot G}{w_f} + v \cdot r\right)}{r_o} \]

Where:

\( v_f \) — Final Velocity (m/s)
\( \tau \) — Torque Exerted on Wheel (N·m)
\( G \) — Specific Gravity of Fluid
\( w_f \) — Weight of Fluid (N)
\( v \) — Velocity of Jet (m/s)
\( r \) — Radius of Wheel (m)
\( r_o \) — Radius of Outlet (m)

Explanation: The formula calculates the final velocity by considering the torque effects, fluid properties, and geometric parameters of the system.

3. Importance of Final Velocity Calculation

Details: Accurate final velocity calculation is crucial for designing hydraulic systems, analyzing fluid flow behavior, and optimizing energy transfer in mechanical systems involving fluids.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure torque, specific gravity, weight, and radii are positive values. Velocity of jet can be zero or positive.

5. Frequently Asked Questions (FAQ)

Q1: What is specific gravity of fluid?
A: Specific gravity is the ratio of the density of a substance to the density of a reference substance, typically water for liquids.

Q2: How does torque affect the final velocity?
A: Higher torque values generally result in higher final velocities, as torque contributes to the energy input to the system.

Q3: What are typical units for this calculation?
A: Torque in Newton-meters (N·m), weight in Newtons (N), velocities in meters per second (m/s), and radii in meters (m).

Q4: Can this formula be used for compressible fluids?
A: This formula is primarily designed for incompressible fluid flow. For compressible fluids, additional factors need to be considered.

Q5: What if the radius of outlet is zero?
A: The radius of outlet cannot be zero as it would make the denominator zero, resulting in an undefined value. Always use positive values for radii.